diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-11 12:40:40.079363480 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-11 12:40:40.119363040 +0000
@@ -0,0 +1 @@
+decimal128-conv
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2020-07-10 11:52:33.000000000 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-11 12:40:40.119363040 +0000
@@ -1 +1 @@
-4.1.0
+4.1.0-p1
diff -Naurd mpfr-4.1.0-a/src/get_d128.c mpfr-4.1.0-b/src/get_d128.c
--- mpfr-4.1.0-a/src/get_d128.c	2020-04-08 22:39:35.000000000 +0000
+++ mpfr-4.1.0-b/src/get_d128.c	2021-02-11 12:40:40.103363216 +0000
@@ -40,22 +40,21 @@
 static _Decimal128
 get_decimal128_nan (void)
 {
-  return (_Decimal128) MPFR_DBL_NAN;
+  return 0.0dl / 0.0dl;
 }
 
 /* construct the decimal128 Inf with given sign */
 static _Decimal128
 get_decimal128_inf (int negative)
 {
-  return (_Decimal128) (negative ? MPFR_DBL_INFM : MPFR_DBL_INFP);
+  return negative ? - 1.0dl / 0.0dl : 1.0dl / 0.0dl;
 }
 
 /* construct the decimal128 zero with given sign */
 static _Decimal128
 get_decimal128_zero (int negative)
 {
-  _Decimal128 zero = 0;
-  return (_Decimal128) (negative ? -zero : zero);
+  return negative ? - 0.0dl : 0.0dl;
 }
 
 /* construct the decimal128 smallest non-zero with given sign:
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2020-07-10 11:52:33.000000000 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-11 12:40:40.115363084 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0"
+#define MPFR_VERSION_STRING "4.1.0-p1"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2020-07-10 11:52:33.000000000 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-11 12:40:40.119363040 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0";
+  return "4.1.0-p1";
 }
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-11 12:43:51.761257868 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-11 12:43:51.801257430 +0000
@@ -0,0 +1 @@
+random_deviate
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-11 12:40:40.119363040 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-11 12:43:51.801257430 +0000
@@ -1 +1 @@
-4.1.0-p1
+4.1.0-p2
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-11 12:40:40.115363084 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-11 12:43:51.801257430 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p1"
+#define MPFR_VERSION_STRING "4.1.0-p2"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/random_deviate.c mpfr-4.1.0-b/src/random_deviate.c
--- mpfr-4.1.0-a/src/random_deviate.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/random_deviate.c	2021-02-11 12:43:51.789257562 +0000
@@ -289,6 +289,7 @@
   mpfr_random_size_t p = mpfr_get_prec (z); /* Number of bits in result */
   mpz_t t;
   int inex;
+  mpfr_exp_t negxe;
 
   if (n == 0)
     {
@@ -370,14 +371,22 @@
   mpz_setbit (t, 0);     /* Set the trailing bit so result is always inexact */
   if (neg)
     mpz_neg (t, t);
-  /* Is -x->e representable as a mpfr_exp_t? */
-  MPFR_ASSERTN (x->e <= (mpfr_uexp_t)(-1) >> 1);
+  /* Portable version of the negation of x->e, with a check of overflow. */
+  if (MPFR_UNLIKELY (x->e > MPFR_EXP_MAX))
+    {
+      /* Overflow, except when x->e = MPFR_EXP_MAX + 1 = - MPFR_EXP_MIN. */
+      MPFR_ASSERTN (MPFR_EXP_MIN + MPFR_EXP_MAX == -1 &&
+                    x->e == (mpfr_random_size_t) MPFR_EXP_MAX + 1);
+      negxe = MPFR_EXP_MIN;
+    }
+  else
+    negxe = - (mpfr_exp_t) x->e;
   /*
    * Let mpfr_set_z_2exp do all the work of rounding to the requested
    * precision, setting overflow/underflow flags, and returning the right
    * inexact value.
    */
-  inex = mpfr_set_z_2exp (z, t, -x->e, rnd);
+  inex = mpfr_set_z_2exp (z, t, negxe, rnd);
   mpz_clear (t);
   return inex;
 }
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-11 12:40:40.119363040 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-11 12:43:51.801257430 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p1";
+  return "4.1.0-p2";
 }
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-11 12:46:49.075316772 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-11 12:46:49.115316335 +0000
@@ -0,0 +1 @@
+set_z_2exp-overflow
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-11 12:43:51.801257430 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-11 12:46:49.115316335 +0000
@@ -1 +1 @@
-4.1.0-p2
+4.1.0-p3
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-11 12:43:51.801257430 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-11 12:46:49.115316335 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p2"
+#define MPFR_VERSION_STRING "4.1.0-p3"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/set_z_exp.c mpfr-4.1.0-b/src/set_z_exp.c
--- mpfr-4.1.0-a/src/set_z_exp.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/set_z_exp.c	2021-02-11 12:46:49.103316466 +0000
@@ -28,10 +28,11 @@
 int
 mpfr_set_z_2exp (mpfr_ptr f, mpz_srcptr z, mpfr_exp_t e, mpfr_rnd_t rnd_mode)
 {
-  mp_size_t fn, zn, dif, en;
+  mp_size_t fn, zn, dif;
   int k, sign_z, inex;
   mp_limb_t *fp, *zp;
-  mpfr_exp_t exp;
+  mpfr_exp_t exp, nmax;
+  mpfr_uexp_t uexp;
 
   sign_z = mpz_sgn (z);
   if (MPFR_UNLIKELY (sign_z == 0)) /* ignore the exponent for 0 */
@@ -43,10 +44,15 @@
   MPFR_ASSERTD (sign_z == MPFR_SIGN_POS || sign_z == MPFR_SIGN_NEG);
 
   zn = ABSIZ(z); /* limb size of z */
-  /* compute en = floor(e/GMP_NUMB_BITS) */
-  en = (e >= 0) ? e / GMP_NUMB_BITS : (e + 1) / GMP_NUMB_BITS - 1;
   MPFR_ASSERTD (zn >= 1);
-  if (MPFR_UNLIKELY (zn + en > MPFR_EMAX_MAX / GMP_NUMB_BITS + 1))
+  nmax = MPFR_EMAX_MAX / GMP_NUMB_BITS + 1;
+  /* Detect early overflow with zn + en > nmax,
+     where en = floor(e / GMP_NUMB_BITS).
+     This is checked without an integer overflow (even assuming some
+     future version of GMP, where limitations may be removed). */
+  if (MPFR_UNLIKELY (e >= 0 ?
+                     zn > nmax - e / GMP_NUMB_BITS :
+                     zn + (e + 1) / GMP_NUMB_BITS - 1 > nmax))
     return mpfr_overflow (f, rnd_mode, sign_z);
   /* because zn + en >= MPFR_EMAX_MAX / GMP_NUMB_BITS + 2
      implies (zn + en) * GMP_NUMB_BITS >= MPFR_EMAX_MAX + GMP_NUMB_BITS + 1
@@ -64,8 +70,21 @@
      and exp = zn * GMP_NUMB_BITS + e - k
              <= (zn + en) * GMP_NUMB_BITS - k + GMP_NUMB_BITS - 1
              <= MPFR_EMAX_MAX + 2 * GMP_NUMB_BITS - 1 */
-  exp = (mpfr_prec_t) zn * GMP_NUMB_BITS + e - k;
+  /* We need to compute exp = zn * GMP_NUMB_BITS + e - k with well-defined
+     operations (no integer overflows / no implementation-defined results).
+     The mathematical result of zn * GMP_NUMB_BITS may be larger than
+     the largest value of mpfr_exp_t while exp could still be less than
+     __gmpfr_emax. Thanks to early overflow detection, we can compute the
+     result in modular arithmetic, using mpfr_uexp_t, and convert it to
+     mpfr_exp_t. */
+  uexp = (mpfr_uexp_t) zn * GMP_NUMB_BITS + (mpfr_uexp_t) e - k;
+
+  /* Convert to signed in a portable way (see doc/README.dev).
+     On most platforms, this can be optimized to identity (no-op). */
+  exp = uexp > MPFR_EXP_MAX ? -1 - (mpfr_exp_t) ~uexp : (mpfr_exp_t) uexp;
+
   /* The exponent will be exp or exp + 1 (due to rounding) */
+
   if (MPFR_UNLIKELY (exp > __gmpfr_emax))
     return mpfr_overflow (f, rnd_mode, sign_z);
   if (MPFR_UNLIKELY (exp + 1 < __gmpfr_emin))
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-11 12:43:51.801257430 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-11 12:46:49.115316335 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p2";
+  return "4.1.0-p3";
 }
diff -Naurd mpfr-4.1.0-a/tests/tset_z_exp.c mpfr-4.1.0-b/tests/tset_z_exp.c
--- mpfr-4.1.0-a/tests/tset_z_exp.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tset_z_exp.c	2021-02-11 12:46:49.103316466 +0000
@@ -97,49 +97,149 @@
    mpfr_get_si is a rather indirect test of a low level routine.  */
 
 static void
-check (long i, mpfr_rnd_t rnd)
+check (long i, mpfr_rnd_t rnd, int reduced)
 {
-  mpfr_t f;
+  mpfr_t f1, f2, f3;
   mpz_t z;
-  mpfr_exp_t e;
+  mpfr_exp_t e, old_emin, old_emax;
   int inex;
+  mpfr_flags_t flags;
+
+  old_emin = mpfr_get_emin ();
+  old_emax = mpfr_get_emax ();
 
   /* using CHAR_BIT * sizeof(long) bits of precision ensures that
      mpfr_set_z_2exp is exact below */
-  mpfr_init2 (f, CHAR_BIT * sizeof(long));
+  mpfr_inits2 (CHAR_BIT * sizeof(long), f1, f2, f3, (mpfr_ptr) 0);
   mpz_init (z);
   mpz_set_ui (z, i);
   /* the following loop ensures that no overflow occurs */
   do
     e = randexp ();
   while (e > mpfr_get_emax () - CHAR_BIT * sizeof(long));
-  inex = mpfr_set_z_2exp (f, z, e, rnd);
-  if (inex != 0)
+
+  mpfr_clear_flags ();
+  inex = mpfr_set_z_2exp (f1, z, e, rnd);
+  flags = __gmpfr_flags;
+
+  if (inex != 0 || flags != 0 ||
+      (mpfr_div_2si (f2, f1, e, rnd), mpfr_get_si (f2, MPFR_RNDZ) != i))
     {
-      printf ("Error in mpfr_set_z_2exp for i=%ld, e=%ld,"
-              " wrong ternary value\n", i, (long) e);
-      printf ("expected 0, got %d\n", inex);
+      printf ("Error in mpfr_set_z_2exp for i=%ld e=%" MPFR_EXP_FSPEC
+              "d rnd_mode=%d\n", i, (mpfr_eexp_t) e, rnd);
+      mpfr_set_si_2exp (f2, i, e, MPFR_RNDN);
+      printf ("expected "); mpfr_dump (f2);
+      printf ("with inex = %d and flags =", 0);
+      flags_out (0);
+      printf ("got      "); mpfr_dump (f1);
+      printf ("with inex = %d and flags =", inex);
+      flags_out (flags);
       exit (1);
     }
-  mpfr_div_2si (f, f, e, rnd);
-  if (mpfr_get_si (f, MPFR_RNDZ) != i)
+
+  if (reduced)
     {
-      printf ("Error in mpfr_set_z_2exp for i=%ld e=", i);
-      if (e < LONG_MIN)
-        printf ("(<LONG_MIN)");
-      else if (e > LONG_MAX)
-        printf ("(>LONG_MAX)");
-      else
-        printf ("%ld", (long) e);
-      printf (" rnd_mode=%d\n", rnd);
-      printf ("expected %ld\n", i);
-      printf ("got      "); mpfr_dump (f);
-      exit (1);
+      mpfr_exp_t ef, emin, emax;
+      int inex2, inex3;
+      mpfr_flags_t flags2, flags3;
+
+      ef = i == 0 ? 0 : mpfr_get_exp (f1);
+      for (emin = ef - 2; emin <= ef + 2; emin++)
+        for (emax = emin; emax <= ef + 2; emax++)
+          {
+            inex3 = mpfr_set (f3, f1, rnd);
+            MPFR_ASSERTN (inex3 == 0);
+            mpfr_set_emin (emin);
+            mpfr_set_emax (emax);
+            mpfr_clear_flags ();
+            inex2 = mpfr_set_z_2exp (f2, z, e, rnd);
+            flags2 = __gmpfr_flags;
+            mpfr_clear_flags ();
+            inex3 = mpfr_check_range (f3, 0, rnd);
+            flags3 = __gmpfr_flags;
+            if (!(mpfr_equal_p (f2, f3) &&
+                  SAME_SIGN (inex2, inex3) &&
+                  flags2 == flags3))
+              {
+                printf ("Error in mpfr_set_z_2exp for i=%ld e=%"
+                        MPFR_EXP_FSPEC "d rnd_mode=%d\nand emin=%"
+                        MPFR_EXP_FSPEC "d emax=%" MPFR_EXP_FSPEC
+                        "d\n", i, (mpfr_eexp_t) e, rnd,
+                        (mpfr_eexp_t) emin, (mpfr_eexp_t) emax);
+                printf ("expected "); mpfr_dump (f3);
+                printf ("with inex = %d and flags =", inex3);
+                flags_out (flags3);
+                printf ("got      "); mpfr_dump (f2);
+                printf ("with inex = %d and flags =", inex2);
+                flags_out (flags2);
+                exit (1);
+              }
+          }
+      mpfr_set_emin (old_emin);
+      mpfr_set_emax (old_emax);
     }
-  mpfr_clear (f);
+
+  mpfr_clears (f1, f2, f3, (mpfr_ptr) 0);
   mpz_clear (z);
 }
 
+static void
+check_huge (void)
+{
+  if (getenv ("MPFR_CHECK_LARGEMEM") != NULL)
+    {
+      mpfr_t x;
+      mpz_t z;
+      long e;
+
+      /* Increase tests_memory_limit to the maximum in order to avoid
+         an obvious failure due to insufficient memory. */
+      tests_memory_limit = (size_t) -1;  /* no memory limit */
+
+      mpfr_init2 (x, 32);
+
+      /* In r14140, with a 32-bit ABI (GCC's -m32):
+         - With UBsan (-fsanitize=undefined -fno-sanitize-recover),
+           this fails with:
+             set_z_2exp.c:71:26: runtime error: signed integer overflow:
+             67108864 * 32 cannot be represented in type 'long int'
+         - With -D_MPFR_EXP_FORMAT=4, this fails with:
+             Expected 0.10001000000000000000000000000000E5
+             Got      0
+      */
+      mpz_init_set_ui (z, 17);
+      e = 0x7ffffff0;
+      mpz_mul_2exp (z, z, e);
+      mpz_add_ui (z, z, 1);
+      mpfr_set_z_2exp (x, z, -e, MPFR_RNDN);
+      if (mpfr_cmp_ui0 (x, 17) != 0)
+        {
+          printf ("Error 1 in check_huge\n");
+          printf ("Expected 0.10001000000000000000000000000000E5\n");
+          printf ("Got      ");
+          mpfr_dump (x);
+          exit (1);
+        }
+      mpz_clear (z);
+
+      mpz_init_set_ui (z, 17);
+      mpz_mul_2exp (z, z, 0xffffffb0);
+      mpz_add_ui (z, z, 1);
+      mpfr_set_z_2exp (x, z, -1, MPFR_RNDN);
+      if (! MPFR_IS_INF (x) || MPFR_IS_NEG (x))
+        {
+          printf ("Error 2 in check_huge\n");
+          printf ("Expected @Inf@\n");
+          printf ("Got      ");
+          mpfr_dump (x);
+          exit (1);
+        }
+      mpz_clear (z);
+
+      mpfr_clear (x);
+    }
+}
+
 int
 main (int argc, char *argv[])
 {
@@ -147,11 +247,13 @@
 
   tests_start_mpfr ();
 
-  check (0, MPFR_RNDN);
+  check (0, MPFR_RNDN, 0);
   for (j = 0; j < 200000; j++)
-    check (randlimb () & LONG_MAX, RND_RAND ());
+    check (randlimb () & LONG_MAX, RND_RAND (), j < 200);
   check0 ();
 
+  check_huge ();
+
   tests_end_mpfr ();
 
   return 0;
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-11 12:48:27.322243271 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-11 12:48:27.370242746 +0000
@@ -0,0 +1 @@
+prototypes
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-11 12:46:49.115316335 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-11 12:48:27.370242746 +0000
@@ -1 +1 @@
-4.1.0-p3
+4.1.0-p4
diff -Naurd mpfr-4.1.0-a/src/atan.c mpfr-4.1.0-b/src/atan.c
--- mpfr-4.1.0-a/src/atan.c	2020-04-22 15:27:07.000000000 +0000
+++ mpfr-4.1.0-b/src/atan.c	2021-02-11 12:48:27.354242922 +0000
@@ -56,7 +56,7 @@
   };
 
 static void
-set_table (mpfr_t y, const mp_limb_t x[3])
+set_table (mpfr_ptr y, const mp_limb_t x[3])
 {
   mpfr_prec_t p = MPFR_PREC(y);
   mp_size_t n = MPFR_PREC2LIMBS(p);
diff -Naurd mpfr-4.1.0-a/src/const_euler.c mpfr-4.1.0-b/src/const_euler.c
--- mpfr-4.1.0-a/src/const_euler.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/const_euler.c	2021-02-11 12:48:27.354242922 +0000
@@ -181,7 +181,7 @@
 }
 
 int
-mpfr_const_euler_internal (mpfr_t x, mpfr_rnd_t rnd)
+mpfr_const_euler_internal (mpfr_ptr x, mpfr_rnd_t rnd)
 {
   mpfr_const_euler_bs_t sum;
   mpz_t t, u, v;
diff -Naurd mpfr-4.1.0-a/src/eint.c mpfr-4.1.0-b/src/eint.c
--- mpfr-4.1.0-a/src/eint.c	2020-03-09 15:31:45.000000000 +0000
+++ mpfr-4.1.0-b/src/eint.c	2021-02-11 12:48:27.354242922 +0000
@@ -36,7 +36,7 @@
    Return PREC(y) when the truncated series does not converge.
 */
 static mpfr_exp_t
-mpfr_eint_aux (mpfr_t y, mpfr_srcptr x)
+mpfr_eint_aux (mpfr_ptr y, mpfr_srcptr x)
 {
   mpfr_t eps; /* dynamic (absolute) error bound on t */
   mpfr_t erru, errs;
diff -Naurd mpfr-4.1.0-a/src/erandom.c mpfr-4.1.0-b/src/erandom.c
--- mpfr-4.1.0-a/src/erandom.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/erandom.c	2021-02-11 12:48:27.354242922 +0000
@@ -80,7 +80,7 @@
 
 /* return an exponential random deviate with mean 1 as a MPFR  */
 int
-mpfr_erandom (mpfr_t z, gmp_randstate_t r, mpfr_rnd_t rnd)
+mpfr_erandom (mpfr_ptr z, gmp_randstate_t r, mpfr_rnd_t rnd)
 {
   mpfr_random_deviate_t x, p, q;
   int inex;
diff -Naurd mpfr-4.1.0-a/src/fpif.c mpfr-4.1.0-b/src/fpif.c
--- mpfr-4.1.0-a/src/fpif.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/fpif.c	2021-02-11 12:48:27.354242922 +0000
@@ -291,7 +291,8 @@
  *   until one has integer types larger than 128 bits).
  */
 static unsigned char*
-mpfr_fpif_store_exponent (unsigned char *buffer, size_t *buffer_size, mpfr_t x)
+mpfr_fpif_store_exponent (unsigned char *buffer, size_t *buffer_size,
+                          mpfr_ptr x)
 {
   unsigned char *result;
   mpfr_uexp_t uexp;
@@ -372,7 +373,7 @@
  *   than 128 bits).
  */
 static int
-mpfr_fpif_read_exponent_from_file (mpfr_t x, FILE * fh)
+mpfr_fpif_read_exponent_from_file (mpfr_ptr x, FILE * fh)
 {
   mpfr_exp_t exponent;
   mpfr_uexp_t uexp;
@@ -456,7 +457,7 @@
  *        format
  */
 static unsigned char*
-mpfr_fpif_store_limbs (unsigned char *buffer, size_t *buffer_size, mpfr_t x)
+mpfr_fpif_store_limbs (unsigned char *buffer, size_t *buffer_size, mpfr_ptr x)
 {
   unsigned char *result;
   mpfr_prec_t precision;
@@ -492,7 +493,7 @@
  * Assume buffer is not NULL.
  */
 static void
-mpfr_fpif_read_limbs (mpfr_t x, unsigned char *buffer, size_t nb_byte)
+mpfr_fpif_read_limbs (mpfr_ptr x, unsigned char *buffer, size_t nb_byte)
 {
   size_t mp_bytes_per_limb;
   size_t nb_partial_byte;
@@ -522,7 +523,7 @@
  * return 0 if successful
  */
 int
-mpfr_fpif_export (FILE *fh, mpfr_t x)
+mpfr_fpif_export (FILE *fh, mpfr_ptr x)
 {
   int status;
   unsigned char *buf;
@@ -582,7 +583,7 @@
  * Return 0 if the import was successful.
  */
 int
-mpfr_fpif_import (mpfr_t x, FILE *fh)
+mpfr_fpif_import (mpfr_ptr x, FILE *fh)
 {
   int status;
   mpfr_prec_t precision;
diff -Naurd mpfr-4.1.0-a/src/li2.c mpfr-4.1.0-b/src/li2.c
--- mpfr-4.1.0-a/src/li2.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/li2.c	2021-02-11 12:48:27.354242922 +0000
@@ -31,7 +31,7 @@
    for determinating the relative error.
 */
 static int
-li2_series (mpfr_t sum, mpfr_srcptr z, mpfr_rnd_t rnd_mode)
+li2_series (mpfr_ptr sum, mpfr_srcptr z, mpfr_rnd_t rnd_mode)
 {
   int i;
   mpfr_t s, u, v, w;
diff -Naurd mpfr-4.1.0-a/src/lngamma.c mpfr-4.1.0-b/src/lngamma.c
--- mpfr-4.1.0-a/src/lngamma.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/lngamma.c	2021-02-11 12:48:27.354242922 +0000
@@ -31,7 +31,7 @@
    precision should be >= 4.
 */
 static void
-mpfr_gamma_alpha (mpfr_t s, mpfr_prec_t p)
+mpfr_gamma_alpha (mpfr_ptr s, mpfr_prec_t p)
 {
   MPFR_LOG_FUNC
     (("p=%Pu", p),
diff -Naurd mpfr-4.1.0-a/src/mpfr-impl.h mpfr-4.1.0-b/src/mpfr-impl.h
--- mpfr-4.1.0-a/src/mpfr-impl.h	2020-06-10 21:50:12.000000000 +0000
+++ mpfr-4.1.0-b/src/mpfr-impl.h	2021-02-11 12:48:27.354242922 +0000
@@ -2474,7 +2474,8 @@
 __MPFR_DECLSPEC mpz_srcptr mpfr_bernoulli_cache (unsigned long);
 __MPFR_DECLSPEC void mpfr_bernoulli_freecache (void);
 
-__MPFR_DECLSPEC int mpfr_sincos_fast (mpfr_t, mpfr_t, mpfr_srcptr, mpfr_rnd_t);
+__MPFR_DECLSPEC int mpfr_sincos_fast (mpfr_ptr, mpfr_ptr, mpfr_srcptr,
+                                      mpfr_rnd_t);
 
 __MPFR_DECLSPEC double mpfr_scale2 (double, int);
 
@@ -2485,7 +2486,7 @@
                                                    mpfr_prec_t);
 
 __MPFR_DECLSPEC void mpfr_mpz_init (mpz_ptr);
-__MPFR_DECLSPEC void mpfr_mpz_init2 (mpz_t, mp_bitcnt_t);
+__MPFR_DECLSPEC void mpfr_mpz_init2 (mpz_ptr, mp_bitcnt_t);
 __MPFR_DECLSPEC void mpfr_mpz_clear (mpz_ptr);
 
 __MPFR_DECLSPEC int mpfr_odd_p (mpfr_srcptr);
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-11 12:46:49.115316335 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-11 12:48:27.366242791 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p3"
+#define MPFR_VERSION_STRING "4.1.0-p4"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
@@ -781,8 +781,8 @@
 __MPFR_DECLSPEC int mpfr_strtofr (mpfr_ptr, const char *, char **, int,
                                   mpfr_rnd_t);
 
-__MPFR_DECLSPEC void mpfr_round_nearest_away_begin (mpfr_t);
-__MPFR_DECLSPEC int mpfr_round_nearest_away_end (mpfr_t, int);
+__MPFR_DECLSPEC void mpfr_round_nearest_away_begin (mpfr_ptr);
+__MPFR_DECLSPEC int mpfr_round_nearest_away_end (mpfr_ptr, int);
 
 __MPFR_DECLSPEC size_t mpfr_custom_get_size (mpfr_prec_t);
 __MPFR_DECLSPEC void mpfr_custom_init (void *, mpfr_prec_t);
@@ -1080,10 +1080,12 @@
 #define mpfr_set_uj_2exp __gmpfr_set_uj_2exp
 #define mpfr_get_sj __gmpfr_mpfr_get_sj
 #define mpfr_get_uj __gmpfr_mpfr_get_uj
-__MPFR_DECLSPEC int mpfr_set_sj (mpfr_t, intmax_t, mpfr_rnd_t);
-__MPFR_DECLSPEC int mpfr_set_sj_2exp (mpfr_t, intmax_t, intmax_t, mpfr_rnd_t);
-__MPFR_DECLSPEC int mpfr_set_uj (mpfr_t, uintmax_t, mpfr_rnd_t);
-__MPFR_DECLSPEC int mpfr_set_uj_2exp (mpfr_t, uintmax_t, intmax_t, mpfr_rnd_t);
+__MPFR_DECLSPEC int mpfr_set_sj (mpfr_ptr, intmax_t, mpfr_rnd_t);
+__MPFR_DECLSPEC int mpfr_set_sj_2exp (mpfr_ptr, intmax_t, intmax_t,
+                                      mpfr_rnd_t);
+__MPFR_DECLSPEC int mpfr_set_uj (mpfr_ptr, uintmax_t, mpfr_rnd_t);
+__MPFR_DECLSPEC int mpfr_set_uj_2exp (mpfr_ptr, uintmax_t, intmax_t,
+                                      mpfr_rnd_t);
 __MPFR_DECLSPEC intmax_t mpfr_get_sj (mpfr_srcptr, mpfr_rnd_t);
 __MPFR_DECLSPEC uintmax_t mpfr_get_uj (mpfr_srcptr, mpfr_rnd_t);
 
diff -Naurd mpfr-4.1.0-a/src/nrandom.c mpfr-4.1.0-b/src/nrandom.c
--- mpfr-4.1.0-a/src/nrandom.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/nrandom.c	2021-02-11 12:48:27.354242922 +0000
@@ -155,7 +155,7 @@
 
 /* return a normal random deviate with mean 0 and variance 1 as a MPFR  */
 int
-mpfr_nrandom (mpfr_t z, gmp_randstate_t r, mpfr_rnd_t rnd)
+mpfr_nrandom (mpfr_ptr z, gmp_randstate_t r, mpfr_rnd_t rnd)
 {
   mpfr_random_deviate_t x, p, q;
   int inex;
diff -Naurd mpfr-4.1.0-a/src/pool.c mpfr-4.1.0-b/src/pool.c
--- mpfr-4.1.0-a/src/pool.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/pool.c	2021-02-11 12:48:27.354242922 +0000
@@ -35,7 +35,7 @@
 static MPFR_THREAD_ATTR __mpz_struct mpz_tab[MPFR_POOL_NENTRIES];
 
 MPFR_HOT_FUNCTION_ATTR void
-mpfr_mpz_init (mpz_t z)
+mpfr_mpz_init (mpz_ptr z)
 {
   if (MPFR_LIKELY (n_alloc > 0))
     {
@@ -54,7 +54,7 @@
 }
 
 MPFR_HOT_FUNCTION_ATTR void
-mpfr_mpz_init2 (mpz_t z, mp_bitcnt_t n)
+mpfr_mpz_init2 (mpz_ptr z, mp_bitcnt_t n)
 {
   /* The condition on n is used below as the argument n will be ignored if
      the mpz_t is obtained from the MPFR stack of previously used mpz_t.
@@ -82,7 +82,7 @@
 
 
 MPFR_HOT_FUNCTION_ATTR void
-mpfr_mpz_clear (mpz_t z)
+mpfr_mpz_clear (mpz_ptr z)
 {
   /* We only put objects with at most MPFR_POOL_MAX_SIZE in the mpz_t pool,
      to avoid it takes too much memory (and anyway the speedup is mainly
diff -Naurd mpfr-4.1.0-a/src/random_deviate.c mpfr-4.1.0-b/src/random_deviate.c
--- mpfr-4.1.0-a/src/random_deviate.c	2021-02-11 12:43:51.789257562 +0000
+++ mpfr-4.1.0-b/src/random_deviate.c	2021-02-11 12:48:27.354242922 +0000
@@ -64,7 +64,7 @@
 
 /* allocate and set to (0,1) */
 void
-mpfr_random_deviate_init (mpfr_random_deviate_t x)
+mpfr_random_deviate_init (mpfr_random_deviate_ptr x)
 {
   mpz_init (x->f);
   x->e = 0;
@@ -72,21 +72,22 @@
 
 /* reset to (0,1) */
 void
-mpfr_random_deviate_reset (mpfr_random_deviate_t x)
+mpfr_random_deviate_reset (mpfr_random_deviate_ptr x)
 {
   x->e = 0;
 }
 
 /* deallocate */
 void
-mpfr_random_deviate_clear (mpfr_random_deviate_t x)
+mpfr_random_deviate_clear (mpfr_random_deviate_ptr x)
 {
   mpz_clear (x->f);
 }
 
 /* swap two random deviates */
 void
-mpfr_random_deviate_swap (mpfr_random_deviate_t x, mpfr_random_deviate_t y)
+mpfr_random_deviate_swap (mpfr_random_deviate_ptr x,
+                          mpfr_random_deviate_ptr y)
 {
   mpfr_random_size_t s;
   unsigned long t;
@@ -107,7 +108,7 @@
 
 /* ensure x has at least k bits */
 static void
-random_deviate_generate (mpfr_random_deviate_t x, mpfr_random_size_t k,
+random_deviate_generate (mpfr_random_deviate_ptr x, mpfr_random_size_t k,
                          gmp_randstate_t r, mpz_t t)
 {
   /* Various compile time checks on mpfr_random_deviate_t */
@@ -223,7 +224,7 @@
 
 /* return position of leading bit, counting from 1 */
 static mpfr_random_size_t
-random_deviate_leading_bit (mpfr_random_deviate_t x, gmp_randstate_t r)
+random_deviate_leading_bit (mpfr_random_deviate_ptr x, gmp_randstate_t r)
 {
   mpfr_random_size_t l;
   random_deviate_generate (x, W, r, 0);
@@ -243,7 +244,7 @@
 
 /* return kth bit of fraction, representing 2^-k */
 int
-mpfr_random_deviate_tstbit (mpfr_random_deviate_t x, mpfr_random_size_t k,
+mpfr_random_deviate_tstbit (mpfr_random_deviate_ptr x, mpfr_random_size_t k,
                             gmp_randstate_t r)
 {
   if (k == 0)
@@ -256,7 +257,8 @@
 
 /* compare two random deviates, x < y */
 int
-mpfr_random_deviate_less (mpfr_random_deviate_t x, mpfr_random_deviate_t y,
+mpfr_random_deviate_less (mpfr_random_deviate_ptr x,
+                          mpfr_random_deviate_ptr y,
                           gmp_randstate_t r)
 {
   mpfr_random_size_t k = 1;
@@ -280,7 +282,7 @@
 /* set mpfr_t z = (neg ? -1 : 1) * (n + x) */
 int
 mpfr_random_deviate_value (int neg, unsigned long n,
-                           mpfr_random_deviate_t x, mpfr_t z,
+                           mpfr_random_deviate_ptr x, mpfr_ptr z,
                            gmp_randstate_t r, mpfr_rnd_t rnd)
 {
   /* r is used to add as many bits as necessary to match the precision of z */
diff -Naurd mpfr-4.1.0-a/src/random_deviate.h mpfr-4.1.0-b/src/random_deviate.h
--- mpfr-4.1.0-a/src/random_deviate.h	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/random_deviate.h	2021-02-11 12:48:27.354242922 +0000
@@ -76,7 +76,7 @@
 /* set mpfr_t z = (neg ? -1 : 1) * (n + x) */
 __MPFR_DECLSPEC int
   mpfr_random_deviate_value (int, unsigned long,
-                             mpfr_random_deviate_ptr, mpfr_t,
+                             mpfr_random_deviate_ptr, mpfr_ptr,
                              gmp_randstate_t, mpfr_rnd_t);
 
 #if defined(__cplusplus)
diff -Naurd mpfr-4.1.0-a/src/rndna.c mpfr-4.1.0-b/src/rndna.c
--- mpfr-4.1.0-a/src/rndna.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/rndna.c	2021-02-11 12:48:27.354242922 +0000
@@ -61,7 +61,7 @@
    and prepares rop to give it one more bit of precision
    and to save its old value within it. */
 void
-mpfr_round_nearest_away_begin (mpfr_t rop)
+mpfr_round_nearest_away_begin (mpfr_ptr rop)
 {
   mpfr_t tmp;
   mp_size_t xsize;
@@ -129,7 +129,7 @@
    copying it back the result of the applied function
    and performing additional roundings. */
 int
-mpfr_round_nearest_away_end (mpfr_t rop, int inex)
+mpfr_round_nearest_away_end (mpfr_ptr rop, int inex)
 {
   mpfr_t    tmp;
   mp_size_t xsize;
diff -Naurd mpfr-4.1.0-a/src/set_sj.c mpfr-4.1.0-b/src/set_sj.c
--- mpfr-4.1.0-a/src/set_sj.c	2020-06-01 10:39:52.000000000 +0000
+++ mpfr-4.1.0-b/src/set_sj.c	2021-02-11 12:48:27.354242922 +0000
@@ -26,13 +26,13 @@
 #ifdef _MPFR_H_HAVE_INTMAX_T
 
 int
-mpfr_set_sj (mpfr_t x, intmax_t j, mpfr_rnd_t rnd)
+mpfr_set_sj (mpfr_ptr x, intmax_t j, mpfr_rnd_t rnd)
 {
   return mpfr_set_sj_2exp (x, j, 0, rnd);
 }
 
 int
-mpfr_set_sj_2exp (mpfr_t x, intmax_t j, intmax_t e, mpfr_rnd_t rnd)
+mpfr_set_sj_2exp (mpfr_ptr x, intmax_t j, intmax_t e, mpfr_rnd_t rnd)
 {
   if (j >= 0)
     return mpfr_set_uj_2exp (x, j, e, rnd);
diff -Naurd mpfr-4.1.0-a/src/set_str.c mpfr-4.1.0-b/src/set_str.c
--- mpfr-4.1.0-a/src/set_str.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/set_str.c	2021-02-11 12:48:27.354242922 +0000
@@ -23,7 +23,7 @@
 #include "mpfr-impl.h"
 
 int
-mpfr_set_str (mpfr_t x, const char *str, int base, mpfr_rnd_t rnd)
+mpfr_set_str (mpfr_ptr x, const char *str, int base, mpfr_rnd_t rnd)
 {
   char *p;
 
diff -Naurd mpfr-4.1.0-a/src/set_uj.c mpfr-4.1.0-b/src/set_uj.c
--- mpfr-4.1.0-a/src/set_uj.c	2020-06-01 10:39:52.000000000 +0000
+++ mpfr-4.1.0-b/src/set_uj.c	2021-02-11 12:48:27.354242922 +0000
@@ -29,13 +29,13 @@
 #define uintmaxpml (sizeof(uintmax_t) / sizeof(mp_limb_t))
 
 int
-mpfr_set_uj (mpfr_t x, uintmax_t j, mpfr_rnd_t rnd)
+mpfr_set_uj (mpfr_ptr x, uintmax_t j, mpfr_rnd_t rnd)
 {
   return mpfr_set_uj_2exp (x, j, 0, rnd);
 }
 
 int
-mpfr_set_uj_2exp (mpfr_t x, uintmax_t j, intmax_t e, mpfr_rnd_t rnd)
+mpfr_set_uj_2exp (mpfr_ptr x, uintmax_t j, intmax_t e, mpfr_rnd_t rnd)
 {
   int cnt, inex;
   mp_size_t i, k;
diff -Naurd mpfr-4.1.0-a/src/sin_cos.c mpfr-4.1.0-b/src/sin_cos.c
--- mpfr-4.1.0-a/src/sin_cos.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/sin_cos.c	2021-02-11 12:48:27.354242922 +0000
@@ -463,7 +463,7 @@
    Return err such that the relative error is bounded by 2^err ulps.
 */
 static int
-sincos_aux (mpfr_t s, mpfr_t c, mpfr_srcptr x, mpfr_rnd_t rnd_mode)
+sincos_aux (mpfr_ptr s, mpfr_ptr c, mpfr_srcptr x, mpfr_rnd_t rnd_mode)
 {
   mpfr_prec_t prec_s, sh;
   mpz_t Q, S, C, Q2, S2, C2, y;
@@ -577,7 +577,7 @@
    Assumes s differs from c.
  */
 int
-mpfr_sincos_fast (mpfr_t s, mpfr_t c, mpfr_srcptr x, mpfr_rnd_t rnd)
+mpfr_sincos_fast (mpfr_ptr s, mpfr_ptr c, mpfr_srcptr x, mpfr_rnd_t rnd)
 {
   int inexs, inexc;
   mpfr_t x_red, ts, tc;
diff -Naurd mpfr-4.1.0-a/src/strtofr.c mpfr-4.1.0-b/src/strtofr.c
--- mpfr-4.1.0-a/src/strtofr.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/strtofr.c	2021-02-11 12:48:27.354242922 +0000
@@ -226,7 +226,7 @@
    BUT if it returns 0 (NAN or INF), the ternary value is also '0'
    (ie NAN and INF are exact) */
 static int
-parse_string (mpfr_t x, struct parsed_string *pstr,
+parse_string (mpfr_ptr x, struct parsed_string *pstr,
               const char **string, int base)
 {
   const char *str = *string;
@@ -451,7 +451,7 @@
    and the precision of x.
    Returns the ternary value. */
 static int
-parsed_string_to_mpfr (mpfr_t x, struct parsed_string *pstr, mpfr_rnd_t rnd)
+parsed_string_to_mpfr (mpfr_ptr x, struct parsed_string *pstr, mpfr_rnd_t rnd)
 {
   mpfr_prec_t precx, prec, ysize_bits, pstr_size;
   mpfr_exp_t exp;
@@ -934,7 +934,7 @@
 }
 
 int
-mpfr_strtofr (mpfr_t x, const char *string, char **end, int base,
+mpfr_strtofr (mpfr_ptr x, const char *string, char **end, int base,
               mpfr_rnd_t rnd)
 {
   int res;
diff -Naurd mpfr-4.1.0-a/src/vasprintf.c mpfr-4.1.0-b/src/vasprintf.c
--- mpfr-4.1.0-a/src/vasprintf.c	2020-06-01 10:39:52.000000000 +0000
+++ mpfr-4.1.0-b/src/vasprintf.c	2021-02-11 12:48:27.354242922 +0000
@@ -963,7 +963,7 @@
 #define NDIGITS 8
 
 MPFR_RETURNS_NONNULL static char *
-mpfr_get_str_wrapper (mpfr_exp_t *exp, int base, size_t n, const mpfr_t op,
+mpfr_get_str_wrapper (mpfr_exp_t *exp, int base, size_t n, mpfr_srcptr op,
                       const struct printf_spec spec)
 {
   size_t ndigits;
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-11 12:46:49.115316335 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-11 12:48:27.370242746 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p3";
+  return "4.1.0-p4";
 }
diff -Naurd mpfr-4.1.0-a/src/zeta.c mpfr-4.1.0-b/src/zeta.c
--- mpfr-4.1.0-a/src/zeta.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/src/zeta.c	2021-02-11 12:48:27.354242922 +0000
@@ -35,7 +35,7 @@
    sum(tc[i]*product((s+2j)*(s+2j-1)/n^2,j=1..i-1), i=1..p)*s*n^(-s-1)
 */
 static void
-mpfr_zeta_part_b (mpfr_t b, mpfr_srcptr s, int n, int p, mpfr_t *tc)
+mpfr_zeta_part_b (mpfr_ptr b, mpfr_srcptr s, int n, int p, mpfr_t *tc)
 {
   mpfr_t s1, d, u;
   unsigned long n2;
@@ -130,7 +130,7 @@
           n - an integer
    Output: sum - a floating-point number approximating sum(1/i^s, i=1..n-1) */
 static void
-mpfr_zeta_part_a (mpfr_t sum, mpfr_srcptr s, int n)
+mpfr_zeta_part_a (mpfr_ptr sum, mpfr_srcptr s, int n)
 {
   mpfr_t u, s1;
   int i;
@@ -158,7 +158,7 @@
    Output: z - Zeta(s) rounded to the precision of z with direction rnd_mode
 */
 static int
-mpfr_zeta_pos (mpfr_t z, mpfr_srcptr s, mpfr_rnd_t rnd_mode)
+mpfr_zeta_pos (mpfr_ptr z, mpfr_srcptr s, mpfr_rnd_t rnd_mode)
 {
   mpfr_t b, c, z_pre, f, s1;
   double beta, sd, dnep;
@@ -356,8 +356,8 @@
    At input, p is Pi rounded down.
    The comments in the code are for rnd = RNDD. */
 static void
-mpfr_reflection_overflow (mpfr_t z, mpfr_t s1, const mpfr_t s, mpfr_t y,
-                          mpfr_t p, mpfr_rnd_t rnd)
+mpfr_reflection_overflow (mpfr_ptr z, mpfr_ptr s1, mpfr_srcptr s, mpfr_ptr y,
+                          mpfr_ptr p, mpfr_rnd_t rnd)
 {
   mpz_t sint;
 
@@ -432,7 +432,7 @@
 }
 
 int
-mpfr_zeta (mpfr_t z, mpfr_srcptr s, mpfr_rnd_t rnd_mode)
+mpfr_zeta (mpfr_ptr z, mpfr_srcptr s, mpfr_rnd_t rnd_mode)
 {
   mpfr_t z_pre, s1, y, p;
   long add;
diff -Naurd mpfr-4.1.0-a/tests/tcmp2.c mpfr-4.1.0-b/tests/tcmp2.c
--- mpfr-4.1.0-a/tests/tcmp2.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tcmp2.c	2021-02-11 12:48:27.350242965 +0000
@@ -24,7 +24,7 @@
 
 /* set bit n of x to b, where bit 0 is the most significant one */
 static void
-set_bit (mpfr_t x, unsigned int n, int b)
+set_bit (mpfr_ptr x, unsigned int n, int b)
 {
   unsigned l;
   mp_size_t xn;
diff -Naurd mpfr-4.1.0-a/tests/tdiv.c mpfr-4.1.0-b/tests/tdiv.c
--- mpfr-4.1.0-a/tests/tdiv.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tdiv.c	2021-02-11 12:48:27.350242965 +0000
@@ -369,7 +369,7 @@
 /* given y = o(x/u), x, u, find the inexact flag by
    multiplying y by u */
 static int
-get_inexact (mpfr_t y, mpfr_t x, mpfr_t u)
+get_inexact (mpfr_ptr y, mpfr_ptr x, mpfr_ptr u)
 {
   mpfr_t xx;
   int inex;
diff -Naurd mpfr-4.1.0-a/tests/teq.c mpfr-4.1.0-b/tests/teq.c
--- mpfr-4.1.0-a/tests/teq.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/teq.c	2021-02-11 12:48:27.350242965 +0000
@@ -23,7 +23,7 @@
 #include "mpfr-test.h"
 
 static void
-teq (mpfr_t x)
+teq (mpfr_ptr x)
 {
   mpfr_t y;
   unsigned long k, px, mx;
diff -Naurd mpfr-4.1.0-a/tests/terandom_chisq.c mpfr-4.1.0-b/tests/terandom_chisq.c
--- mpfr-4.1.0-a/tests/terandom_chisq.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/terandom_chisq.c	2021-02-11 12:48:27.350242965 +0000
@@ -26,7 +26,7 @@
  * exponential distribution.  We only take differences of this function so the
  * offset doesn't matter; here Phi(0) = 0. */
 static void
-exponential_cumulative (mpfr_t z, mpfr_t x, mpfr_rnd_t rnd)
+exponential_cumulative (mpfr_ptr z, mpfr_ptr x, mpfr_rnd_t rnd)
 {
   mpfr_neg (z, x, rnd);
   mpfr_expm1 (z, z, rnd);
@@ -43,7 +43,7 @@
  * TAOCP, Vol 2, 3.3.1, Table 1.  It more accurate than the similar formula,
  * DLMF 8.11.10. */
 static void
-chisq_prob (mpfr_t q, long nu, mpfr_t chisqp)
+chisq_prob (mpfr_ptr q, long nu, mpfr_ptr chisqp)
 {
   mpfr_t t;
   mpfr_rnd_t rnd;
@@ -170,7 +170,7 @@
  * this function.  low precision means prec = 2, 3, or 4.  High values of
  * precision will result in integer overflow. */
 static long
-sequential (mpfr_t x)
+sequential (mpfr_ptr x)
 {
   long expt, prec;
 
diff -Naurd mpfr-4.1.0-a/tests/tfmma.c mpfr-4.1.0-b/tests/tfmma.c
--- mpfr-4.1.0-a/tests/tfmma.c	2020-03-24 13:47:38.000000000 +0000
+++ mpfr-4.1.0-b/tests/tfmma.c	2021-02-11 12:48:27.350242965 +0000
@@ -24,7 +24,7 @@
 
 /* check both mpfr_fmma and mpfr_fmms */
 static void
-random_test (mpfr_t a, mpfr_t b, mpfr_t c, mpfr_t d, mpfr_rnd_t rnd)
+random_test (mpfr_ptr a, mpfr_ptr b, mpfr_ptr c, mpfr_ptr d, mpfr_rnd_t rnd)
 {
   mpfr_t ref, res, ab, cd;
   int inex_ref, inex_res;
diff -Naurd mpfr-4.1.0-a/tests/tfmod.c mpfr-4.1.0-b/tests/tfmod.c
--- mpfr-4.1.0-a/tests/tfmod.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tfmod.c	2021-02-11 12:48:27.350242965 +0000
@@ -62,8 +62,8 @@
 }
 
 static void
-test_failed (mpfr_t erem, mpfr_t grem, int eret, int gret, mpfr_t x, mpfr_t y,
-             mpfr_rnd_t rnd)
+test_failed (mpfr_ptr erem, mpfr_ptr grem, int eret, int gret,
+             mpfr_ptr x, mpfr_ptr y, mpfr_rnd_t rnd)
 {
   printf ("error: mpfr_fmod (r, x, y, rnd)\n  x = ");
   mpfr_out_str (stdout, 10, 0, x, MPFR_RNDD);
@@ -83,7 +83,7 @@
 }
 
 static void
-check (mpfr_t r0, mpfr_t x, mpfr_t y, mpfr_rnd_t rnd)
+check (mpfr_ptr r0, mpfr_ptr x, mpfr_ptr y, mpfr_rnd_t rnd)
 {
   int inex0, inex1;
   mpfr_t r1;
diff -Naurd mpfr-4.1.0-a/tests/tfprintf.c mpfr-4.1.0-b/tests/tfprintf.c
--- mpfr-4.1.0-a/tests/tfprintf.c	2020-06-01 10:39:52.000000000 +0000
+++ mpfr-4.1.0-b/tests/tfprintf.c	2021-02-11 12:48:27.350242965 +0000
@@ -65,7 +65,7 @@
 const int prec_max_printf = 5000;
 
 static void
-check (FILE *fout, const char *fmt, mpfr_t x)
+check (FILE *fout, const char *fmt, mpfr_ptr x)
 {
   if (mpfr_fprintf (fout, fmt, x) == -1)
     {
diff -Naurd mpfr-4.1.0-a/tests/tgamma.c mpfr-4.1.0-b/tests/tgamma.c
--- mpfr-4.1.0-a/tests/tgamma.c	2020-06-01 00:15:37.000000000 +0000
+++ mpfr-4.1.0-b/tests/tgamma.c	2021-02-11 12:48:27.350242965 +0000
@@ -890,7 +890,7 @@
    computing with a working precision p2. Assume that x is not an
    integer <= 2. */
 static void
-exp_lgamma (mpfr_t x, mpfr_prec_t p1, mpfr_prec_t p2)
+exp_lgamma (mpfr_ptr x, mpfr_prec_t p1, mpfr_prec_t p2)
 {
   mpfr_t yd, yu, zd, zu;
   int inexd, inexu, sign;
diff -Naurd mpfr-4.1.0-a/tests/tnrandom_chisq.c mpfr-4.1.0-b/tests/tnrandom_chisq.c
--- mpfr-4.1.0-a/tests/tnrandom_chisq.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tnrandom_chisq.c	2021-02-11 12:48:27.350242965 +0000
@@ -26,7 +26,7 @@
  * for the normal distribution.  We only take differences of this function so
  * the offset doesn't matter; here Phi(0) = 0. */
 static void
-normal_cumulative (mpfr_t z, mpfr_t x, mpfr_rnd_t rnd)
+normal_cumulative (mpfr_ptr z, mpfr_ptr x, mpfr_rnd_t rnd)
 {
   mpfr_sqrt_ui (z, 2, rnd);
   mpfr_div (z, x, z, rnd);
@@ -44,7 +44,7 @@
  * TAOCP, Vol 2, 3.3.1, Table 1.  It more accurate than the similar formula,
  * DLMF 8.11.10. */
 static void
-chisq_prob (mpfr_t q, long nu, mpfr_t chisqp)
+chisq_prob (mpfr_ptr q, long nu, mpfr_ptr chisqp)
 {
   mpfr_t t;
   mpfr_rnd_t rnd;
@@ -166,7 +166,7 @@
  * this function.  low precision means prec = 2, 3, or 4.  High values of
  * precision will result in integer overflow. */
 static long
-sequential (mpfr_t x)
+sequential (mpfr_ptr x)
 {
   long expt, prec;
 
diff -Naurd mpfr-4.1.0-a/tests/tprintf.c mpfr-4.1.0-b/tests/tprintf.c
--- mpfr-4.1.0-a/tests/tprintf.c	2020-06-01 10:39:52.000000000 +0000
+++ mpfr-4.1.0-b/tests/tprintf.c	2021-02-11 12:48:27.350242965 +0000
@@ -74,7 +74,7 @@
 int stdout_redirect;
 
 static void
-check (const char *fmt, mpfr_t x)
+check (const char *fmt, mpfr_ptr x)
 {
   if (mpfr_printf (fmt, x) == -1)
     {
diff -Naurd mpfr-4.1.0-a/tests/trint.c mpfr-4.1.0-b/tests/trint.c
--- mpfr-4.1.0-a/tests/trint.c	2020-02-12 13:04:50.000000000 +0000
+++ mpfr-4.1.0-b/tests/trint.c	2021-02-11 12:48:27.350242965 +0000
@@ -367,7 +367,7 @@
 #endif
 
 static void
-err (const char *str, mp_size_t s, mpfr_t x, mpfr_t y, mpfr_prec_t p,
+err (const char *str, mp_size_t s, mpfr_ptr x, mpfr_ptr y, mpfr_prec_t p,
      mpfr_rnd_t r, int trint, int inexact)
 {
   printf ("Error: %s\ns = %u, p = %u, r = %s, trint = %d, inexact = %d\nx = ",
diff -Naurd mpfr-4.1.0-a/tests/tsinh_cosh.c mpfr-4.1.0-b/tests/tsinh_cosh.c
--- mpfr-4.1.0-a/tests/tsinh_cosh.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tsinh_cosh.c	2021-02-11 12:48:27.350242965 +0000
@@ -23,7 +23,7 @@
 #include "mpfr-test.h"
 
 static void
-failed (mpfr_t x, mpfr_t esh, mpfr_t gsh, mpfr_t ech, mpfr_t gch)
+failed (mpfr_ptr x, mpfr_ptr esh, mpfr_ptr gsh, mpfr_ptr ech, mpfr_ptr gch)
 {
   printf ("error : mpfr_sinh_cosh (x) x = ");
   mpfr_out_str (stdout, 10, 0, x, MPFR_RNDD);
@@ -43,7 +43,7 @@
 
 /* check against sinh, cosh */
 static void
-check (mpfr_t x, mpfr_rnd_t rnd)
+check (mpfr_ptr x, mpfr_rnd_t rnd)
 {
   mpfr_t s, c, sx, cx;
   int isc, is, ic;
diff -Naurd mpfr-4.1.0-a/tests/tsqr.c mpfr-4.1.0-b/tests/tsqr.c
--- mpfr-4.1.0-a/tests/tsqr.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tsqr.c	2021-02-11 12:48:27.350242965 +0000
@@ -33,7 +33,7 @@
 
 static void
 error1 (mpfr_rnd_t rnd, mpfr_prec_t prec,
-        mpfr_t in, mpfr_t outmul, mpfr_t outsqr)
+        mpfr_t in, mpfr_ptr outmul, mpfr_ptr outsqr)
 {
   printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd),
          (unsigned long) prec);
@@ -44,7 +44,7 @@
 }
 
 static void
-error2 (mpfr_rnd_t rnd, mpfr_prec_t prec, mpfr_t in, mpfr_t out,
+error2 (mpfr_rnd_t rnd, mpfr_prec_t prec, mpfr_ptr in, mpfr_ptr out,
         int inexactmul, int inexactsqr)
 {
   printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd),
diff -Naurd mpfr-4.1.0-a/tests/tsum.c mpfr-4.1.0-b/tests/tsum.c
--- mpfr-4.1.0-a/tests/tsum.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tsum.c	2021-02-11 12:48:27.350242965 +0000
@@ -59,7 +59,7 @@
 }
 
 static void
-get_exact_sum (mpfr_t sum, mpfr_t *tab, int n)
+get_exact_sum (mpfr_ptr sum, mpfr_t *tab, int n)
 {
   int i;
 
@@ -1198,7 +1198,7 @@
 }
 
 static int
-mpfr_sum_naive (mpfr_t s, mpfr_t *x, int n, mpfr_rnd_t rnd)
+mpfr_sum_naive (mpfr_ptr s, mpfr_t *x, int n, mpfr_rnd_t rnd)
 {
   int ret, i;
   switch (n)
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-11 12:50:22.384987438 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-11 12:50:22.424987002 +0000
@@ -0,0 +1 @@
+digamma-hugemem
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-11 12:48:27.370242746 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-11 12:50:22.424987002 +0000
@@ -1 +1 @@
-4.1.0-p4
+4.1.0-p5
diff -Naurd mpfr-4.1.0-a/src/digamma.c mpfr-4.1.0-b/src/digamma.c
--- mpfr-4.1.0-a/src/digamma.c	2020-06-18 17:17:18.000000000 +0000
+++ mpfr-4.1.0-b/src/digamma.c	2021-02-11 12:50:22.412987133 +0000
@@ -214,19 +214,27 @@
     (("x[%Pu]=%.*Rg rnd=%d", mpfr_get_prec(x), mpfr_log_prec, x, rnd_mode),
      ("y[%Pu]=%.*Rg inexact=%d", mpfr_get_prec(y), mpfr_log_prec, y, inex));
 
-  /* compute a precision q such that x+1 is exact */
-  if (MPFR_PREC(x) < MPFR_GET_EXP(x))
-    q = MPFR_EXP(x);
-  else
-    q = MPFR_PREC(x) + 1;
-
-  /* for very large x, use |digamma(x) - log(x)| < 1/x < 2^(1-EXP(x)) */
-  if (MPFR_PREC(y) + 10 < MPFR_EXP(x))
+  /* For very large x, use |digamma(x) - log(x)| < 1/x < 2^(1-EXP(x)).
+     However, for a fixed value of GUARD, MPFR_CAN_ROUND() might fail
+     with probability 1/2^GUARD, in which case the default code will
+     fail since it requires x+1 to be exact, thus a huge precision if
+     x is huge. There are two workarounds:
+     * either perform a Ziv's loop, by increasing GUARD at each step.
+       However, this might fail if x is moderately large, in which case
+       more terms of the asymptotic expansion would be needed.
+     * implement a full asymptotic expansion (with Ziv's loop). */
+#define GUARD 30
+  if (MPFR_PREC(y) + GUARD < MPFR_EXP(x))
     {
       /* this ensures EXP(x) >= 3, thus x >= 4, thus log(x) > 1 */
-      mpfr_init2 (t, MPFR_PREC(y) + 10);
-      mpfr_log (t, x, MPFR_RNDZ);
-      if (MPFR_CAN_ROUND (t, MPFR_PREC(y) + 10, MPFR_PREC(y), rnd_mode))
+      mpfr_init2 (t, MPFR_PREC(y) + GUARD);
+      mpfr_log (t, x, MPFR_RNDN);
+      /* |t - digamma(x)| <= 1/2*ulp(t) + |digamma(x) - log(x)|
+                          <= 1/2*ulp(t) + 2^(1-EXP(x))
+                          <= 1/2*ulp(t) + 2^(-PREC(y)-GUARD)
+                          <= ulp(t)
+         since |t| >= 1 thus ulp(t) >= 2^(1-PREC(y)-GUARD) */
+      if (MPFR_CAN_ROUND (t, MPFR_PREC(y) + GUARD, MPFR_PREC(y), rnd_mode))
         {
           inex = mpfr_set (y, t, rnd_mode);
           mpfr_clear (t);
@@ -235,6 +243,21 @@
       mpfr_clear (t);
     }
 
+  /* compute a precision q such that x+1 is exact */
+  if (MPFR_PREC(x) < MPFR_GET_EXP(x))
+    {
+      /* The goal of the first assertion is to let the compiler ignore
+         the second one when MPFR_EMAX_MAX <= MPFR_PREC_MAX. */
+      MPFR_ASSERTD (MPFR_EXP(x) <= MPFR_EMAX_MAX);
+      MPFR_ASSERTN (MPFR_EXP(x) <= MPFR_PREC_MAX);
+      q = MPFR_EXP(x);
+    }
+  else
+    q = MPFR_PREC(x) + 1;
+
+  /* FIXME: q can be much too large, e.g. equal to the maximum exponent! */
+  MPFR_LOG_MSG (("q=%Pu\n", q));
+
   mpfr_init2 (x_plus_j, q);
 
   mpfr_init2 (t, p);
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-11 12:48:27.366242791 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-11 12:50:22.424987002 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p4"
+#define MPFR_VERSION_STRING "4.1.0-p5"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-11 12:48:27.370242746 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-11 12:50:22.424987002 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p4";
+  return "4.1.0-p5";
 }
diff -Naurd mpfr-4.1.0-a/tests/tdigamma.c mpfr-4.1.0-b/tests/tdigamma.c
--- mpfr-4.1.0-a/tests/tdigamma.c	2020-06-18 17:17:18.000000000 +0000
+++ mpfr-4.1.0-b/tests/tdigamma.c	2021-02-11 12:50:22.412987133 +0000
@@ -49,12 +49,54 @@
   mpfr_clear (y);
 }
 
+/* With some GMP_CHECK_RANDOMIZE values, test_generic triggers an error
+     tests_addsize(): too much memory (576460752303432776 bytes)
+  Each time on prec = 200, n = 3, xprec = 140.
+  The following test is a more general testcase.
+*/
+static void
+bug20210206 (void)
+{
+#define NPREC 4
+  mpfr_t x, y[NPREC], z;
+  mpfr_exp_t emin, emax;
+  int i, precx, precy[NPREC] = { 200, 400, 520, 1416 };
+
+  emin = mpfr_get_emin ();
+  emax = mpfr_get_emax ();
+  set_emin (MPFR_EMIN_MIN);
+  set_emax (MPFR_EMAX_MAX);
+
+  for (i = 0; i < NPREC; i++)
+    mpfr_init2 (y[i], precy[i]);
+  mpfr_init2 (z, precy[0]);
+
+  for (precx = MPFR_PREC_MIN; precx < 150; precx++)
+    {
+      mpfr_init2 (x, precx);
+      mpfr_setmax (x, __gmpfr_emax);
+      for (i = 0; i < NPREC; i++)
+        mpfr_digamma (y[i], x, MPFR_RNDA);
+      mpfr_set (z, y[1], MPFR_RNDA);
+      MPFR_ASSERTN (mpfr_equal_p (y[0], z));
+      mpfr_clear (x);
+    }
+
+  for (i = 0; i < NPREC; i++)
+    mpfr_clear (y[i]);
+  mpfr_clear (z);
+
+  set_emin (emin);
+  set_emax (emax);
+}
+
 int
 main (int argc, char *argv[])
 {
   tests_start_mpfr ();
 
   special ();
+  bug20210206 ();
 
   test_generic (MPFR_PREC_MIN, 200, 20);
 
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-11 12:52:52.519350662 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-11 12:52:52.563350183 +0000
@@ -0,0 +1 @@
+digamma-interm-zero
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-11 12:50:22.424987002 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-11 12:52:52.563350183 +0000
@@ -1 +1 @@
-4.1.0-p5
+4.1.0-p6
diff -Naurd mpfr-4.1.0-a/src/digamma.c mpfr-4.1.0-b/src/digamma.c
--- mpfr-4.1.0-a/src/digamma.c	2021-02-11 12:50:22.412987133 +0000
+++ mpfr-4.1.0-b/src/digamma.c	2021-02-11 12:52:52.547350357 +0000
@@ -296,21 +296,26 @@
       errt = mpfr_digamma_approx (t, x_plus_j);
       expt = MPFR_GET_EXP (t);
       mpfr_sub (t, t, u, MPFR_RNDN);
-      if (MPFR_GET_EXP (t) < expt)
-        errt += expt - MPFR_EXP(t);
-      /* Warning: if u is zero (which happens when x_plus_j >= min at the
-         beginning of the while loop above), EXP(u) is not defined.
-         In this case we have no error from u. */
-      if (MPFR_NOTZERO(u) && MPFR_GET_EXP (t) < MPFR_GET_EXP (u))
-        erru += MPFR_EXP(u) - MPFR_EXP(t);
-      if (errt > erru)
-        errt = errt + 1;
-      else if (errt == erru)
-        errt = errt + 2;
-      else
-        errt = erru + 1;
-      if (MPFR_CAN_ROUND (t, p - errt, MPFR_PREC(y), rnd_mode))
-        break;
+      /* Warning! t may be zero (more likely in small precision). Note
+         that in this case, this is an exact zero, not an underflow. */
+      if (MPFR_NOTZERO(t))
+        {
+          if (MPFR_GET_EXP (t) < expt)
+            errt += expt - MPFR_EXP(t);
+          /* Warning: if u is zero (which happens when x_plus_j >= min at the
+             beginning of the while loop above), EXP(u) is not defined.
+             In this case we have no error from u. */
+          if (MPFR_NOTZERO(u) && MPFR_GET_EXP (t) < MPFR_GET_EXP (u))
+            erru += MPFR_EXP(u) - MPFR_EXP(t);
+          if (errt > erru)
+            errt = errt + 1;
+          else if (errt == erru)
+            errt = errt + 2;
+          else
+            errt = erru + 1;
+          if (MPFR_CAN_ROUND (t, p - errt, MPFR_PREC(y), rnd_mode))
+            break;
+        }
       MPFR_ZIV_NEXT (loop, p);
       mpfr_set_prec (t, p);
       mpfr_set_prec (u, p);
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-11 12:50:22.424987002 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-11 12:52:52.559350226 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p5"
+#define MPFR_VERSION_STRING "4.1.0-p6"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-11 12:50:22.424987002 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-11 12:52:52.559350226 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p5";
+  return "4.1.0-p6";
 }
diff -Naurd mpfr-4.1.0-a/tests/tdigamma.c mpfr-4.1.0-b/tests/tdigamma.c
--- mpfr-4.1.0-a/tests/tdigamma.c	2021-02-11 12:50:22.412987133 +0000
+++ mpfr-4.1.0-b/tests/tdigamma.c	2021-02-11 12:52:52.547350357 +0000
@@ -90,6 +90,26 @@
   set_emax (emax);
 }
 
+/* another test that fails with GMP_CHECK_RANDOMIZE=1612741376857003
+   on revision 14398 */
+static void
+bug20210208 (void)
+{
+  mpfr_t x, y;
+  int inex;
+
+  mpfr_init2 (x, 73);
+  mpfr_init2 (y, 1);
+  mpfr_set_str (x, "1.4613470547060071827450", 10, MPFR_RNDN);
+  mpfr_clear_flags ();
+  inex = mpfr_digamma (y, x, MPFR_RNDU);
+  MPFR_ASSERTN (mpfr_cmp_si_2exp (y, -1, -12) == 0);
+  MPFR_ASSERTN (inex > 0);
+  MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
+  mpfr_clear (x);
+  mpfr_clear (y);
+}
+
 int
 main (int argc, char *argv[])
 {
@@ -97,6 +117,7 @@
 
   special ();
   bug20210206 ();
+  bug20210208 ();
 
   test_generic (MPFR_PREC_MIN, 200, 20);
 
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-11 12:53:38.382850990 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-11 12:53:38.426850512 +0000
@@ -0,0 +1 @@
+jn-interm-zero
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-11 12:52:52.563350183 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-11 12:53:38.426850512 +0000
@@ -1 +1 @@
-4.1.0-p6
+4.1.0-p7
diff -Naurd mpfr-4.1.0-a/src/jyn_asympt.c mpfr-4.1.0-b/src/jyn_asympt.c
--- mpfr-4.1.0-a/src/jyn_asympt.c	2020-07-10 10:33:32.000000000 +0000
+++ mpfr-4.1.0-b/src/jyn_asympt.c	2021-02-11 12:53:38.410850685 +0000
@@ -69,6 +69,8 @@
   MPFR_ZIV_INIT (loop, w);
   for (;;)
     {
+      int ok = 1;
+
       mpfr_set_prec (c, w);
       mpfr_init2 (s, w);
       mpfr_init2 (P, w);
@@ -92,6 +94,13 @@
       /* now s approximates sin(z)+cos(z), and c approximates sin(z)-cos(z),
          with total absolute error bounded by 2^(1-w). */
 
+      /* if s or c is zero, MPFR_GET_EXP will fail below */
+      if (MPFR_IS_ZERO(s) || MPFR_IS_ZERO(c))
+        {
+          ok = 0;
+          goto clear;
+        }
+
       /* precompute 1/(8|z|) */
       mpfr_si_div (iz, MPFR_IS_POS(z) ? 1 : -1, z, MPFR_RNDN);   /* err <= 1 */
       mpfr_div_2ui (iz, iz, 3, MPFR_RNDN);
@@ -257,6 +266,9 @@
       err = (err >= err2) ? err + 1 : err2 + 1;
       /* the absolute error on c is bounded by 2^(err - w) */
 
+      err -= MPFR_GET_EXP (c);
+
+    clear:
       mpfr_clear (s);
       mpfr_clear (P);
       mpfr_clear (Q);
@@ -266,8 +278,7 @@
       mpfr_clear (err_s);
       mpfr_clear (err_u);
 
-      err -= MPFR_GET_EXP (c);
-      if (MPFR_LIKELY (MPFR_CAN_ROUND (c, w - err, MPFR_PREC(res), r)))
+      if (ok && MPFR_LIKELY (MPFR_CAN_ROUND (c, w - err, MPFR_PREC(res), r)))
         break;
       if (diverge != 0)
         {
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-11 12:52:52.559350226 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-11 12:53:38.422850555 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p6"
+#define MPFR_VERSION_STRING "4.1.0-p7"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-11 12:52:52.559350226 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-11 12:53:38.426850512 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p6";
+  return "4.1.0-p7";
 }
diff -Naurd mpfr-4.1.0-a/tests/tj0.c mpfr-4.1.0-b/tests/tj0.c
--- mpfr-4.1.0-a/tests/tj0.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tj0.c	2021-02-11 12:53:38.410850685 +0000
@@ -27,6 +27,25 @@
 #define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
 #include "tgeneric.c"
 
+/* bug found in revision 14399 with GMP_CHECK_RANDOMIZE=1612721106588971 */
+static void
+bug20210208 (void)
+{
+  mpfr_t x, y;
+  int inex;
+
+  mpfr_init2 (x, 79);
+  mpfr_init2 (y, 1);
+  mpfr_set_str (x, "2.552495117262005805960565e+02", 10, MPFR_RNDN);
+  mpfr_clear_flags ();
+  inex = mpfr_j0 (y, x, MPFR_RNDZ);
+  MPFR_ASSERTN (mpfr_cmp_si_2exp (y, -1, -5) == 0);
+  MPFR_ASSERTN (inex > 0);
+  MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
+  mpfr_clear (x);
+  mpfr_clear (y);
+}
+
 int
 main (int argc, char *argv[])
 {
@@ -35,6 +54,8 @@
 
   tests_start_mpfr ();
 
+  bug20210208 ();
+
   mpfr_init (x);
   mpfr_init (y);
 
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-17 17:22:34.594973310 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-17 17:22:34.702972090 +0000
@@ -0,0 +1 @@
+digamma-interm-zero2
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-11 12:53:38.426850512 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-17 17:22:34.702972090 +0000
@@ -1 +1 @@
-4.1.0-p7
+4.1.0-p8
diff -Naurd mpfr-4.1.0-a/src/digamma.c mpfr-4.1.0-b/src/digamma.c
--- mpfr-4.1.0-a/src/digamma.c	2021-02-11 12:52:52.547350357 +0000
+++ mpfr-4.1.0-b/src/digamma.c	2021-02-17 17:22:34.690972226 +0000
@@ -173,16 +173,19 @@
       mpfr_digamma (v, u, MPFR_RNDN);   /* error <= 1/2 ulp */
       expv = MPFR_GET_EXP (v);
       mpfr_sub (v, v, t, MPFR_RNDN);
-      if (MPFR_GET_EXP (v) < MPFR_GET_EXP (t))
-        e1 += MPFR_EXP(t) - MPFR_EXP(v); /* scale error for t wrt new v */
-      /* now take into account the 1/2 ulp error for v */
-      if (expv - MPFR_EXP(v) - 1 > e1)
-        e1 = expv - MPFR_EXP(v) - 1;
-      else
-        e1 ++;
-      e1 ++; /* rounding error for mpfr_sub */
-      if (MPFR_CAN_ROUND (v, p - e1, MPFR_PREC(y), rnd_mode))
-        break;
+      if (MPFR_NOTZERO(v))
+        {
+          if (MPFR_GET_EXP (v) < MPFR_GET_EXP (t))
+            e1 += MPFR_EXP(t) - MPFR_EXP(v); /* scale error for t wrt new v */
+          /* now take into account the 1/2 ulp error for v */
+          if (expv - MPFR_EXP(v) - 1 > e1)
+            e1 = expv - MPFR_EXP(v) - 1;
+          else
+            e1 ++;
+          e1 ++; /* rounding error for mpfr_sub */
+          if (MPFR_CAN_ROUND (v, p - e1, MPFR_PREC(y), rnd_mode))
+            break;
+        }
       MPFR_ZIV_NEXT (loop, p);
       mpfr_set_prec (t, p);
       mpfr_set_prec (v, p);
@@ -416,10 +419,8 @@
         }
     }
 
-  if (MPFR_IS_NEG(x))
-    inex = mpfr_digamma_reflection (y, x, rnd_mode);
   /* if x < 1/2 we use the reflection formula */
-  else if (MPFR_EXP(x) < 0)
+  if (MPFR_IS_NEG(x) || MPFR_EXP(x) < 0)
     inex = mpfr_digamma_reflection (y, x, rnd_mode);
   else
     inex = mpfr_digamma_positive (y, x, rnd_mode);
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-11 12:53:38.422850555 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-17 17:22:34.702972090 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p7"
+#define MPFR_VERSION_STRING "4.1.0-p8"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-11 12:53:38.426850512 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-17 17:22:34.702972090 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p7";
+  return "4.1.0-p8";
 }
diff -Naurd mpfr-4.1.0-a/tests/tdigamma.c mpfr-4.1.0-b/tests/tdigamma.c
--- mpfr-4.1.0-a/tests/tdigamma.c	2021-02-11 12:52:52.547350357 +0000
+++ mpfr-4.1.0-b/tests/tdigamma.c	2021-02-17 17:22:34.690972226 +0000
@@ -110,6 +110,26 @@
   mpfr_clear (y);
 }
 
+/* another test that fails with GMP_CHECK_RANDOMIZE=1613197421465830
+   on revision 14429 */
+static void
+bug20210215 (void)
+{
+  mpfr_t x, y;
+  int inex;
+
+  mpfr_init2 (x, 510);
+  mpfr_init2 (y, 4);
+  mpfr_set_str (x, "-8.2923051438433494998166335341807999322052669984208422481227138906096000469898717007386115912802685588348601663465077353194268894939972221117314512518182580e+35", 10, MPFR_RNDN);
+  mpfr_clear_flags ();
+  inex = mpfr_digamma (y, x, MPFR_RNDU);
+  MPFR_ASSERTN (mpfr_cmp_ui0 (y, 88) == 0);
+  MPFR_ASSERTN (inex > 0);
+  MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
+  mpfr_clear (x);
+  mpfr_clear (y);
+}
+
 int
 main (int argc, char *argv[])
 {
@@ -118,6 +138,7 @@
   special ();
   bug20210206 ();
   bug20210208 ();
+  bug20210215 ();
 
   test_generic (MPFR_PREC_MIN, 200, 20);
 
diff -Naurd mpfr-4.1.0-a/PATCHES mpfr-4.1.0-b/PATCHES
--- mpfr-4.1.0-a/PATCHES	2021-02-17 17:25:46.396981483 +0000
+++ mpfr-4.1.0-b/PATCHES	2021-02-17 17:25:46.440981068 +0000
@@ -0,0 +1 @@
+jyn_asympt-interm-zero
diff -Naurd mpfr-4.1.0-a/VERSION mpfr-4.1.0-b/VERSION
--- mpfr-4.1.0-a/VERSION	2021-02-17 17:22:34.702972090 +0000
+++ mpfr-4.1.0-b/VERSION	2021-02-17 17:25:46.440981068 +0000
@@ -1 +1 @@
-4.1.0-p8
+4.1.0-p9
diff -Naurd mpfr-4.1.0-a/src/jyn_asympt.c mpfr-4.1.0-b/src/jyn_asympt.c
--- mpfr-4.1.0-a/src/jyn_asympt.c	2021-02-11 12:53:38.410850685 +0000
+++ mpfr-4.1.0-b/src/jyn_asympt.c	2021-02-17 17:25:46.424981219 +0000
@@ -69,7 +69,7 @@
   MPFR_ZIV_INIT (loop, w);
   for (;;)
     {
-      int ok = 1;
+      int ok = 0;
 
       mpfr_set_prec (c, w);
       mpfr_init2 (s, w);
@@ -96,10 +96,7 @@
 
       /* if s or c is zero, MPFR_GET_EXP will fail below */
       if (MPFR_IS_ZERO(s) || MPFR_IS_ZERO(c))
-        {
-          ok = 0;
-          goto clear;
-        }
+        goto clear; /* with ok=0 */
 
       /* precompute 1/(8|z|) */
       mpfr_si_div (iz, MPFR_IS_POS(z) ? 1 : -1, z, MPFR_RNDN);   /* err <= 1 */
@@ -227,6 +224,9 @@
           mpfr_sub (s, c, s, MPFR_RNDN);
 #endif
         }
+      if (MPFR_IS_ZERO(s))
+        goto clear; /* with ok=0 */
+      ok = 1;
       if ((n & 2) != 0)
         mpfr_neg (s, s, MPFR_RNDN);
       if (MPFR_GET_EXP (s) > err)
diff -Naurd mpfr-4.1.0-a/src/mpfr.h mpfr-4.1.0-b/src/mpfr.h
--- mpfr-4.1.0-a/src/mpfr.h	2021-02-17 17:22:34.702972090 +0000
+++ mpfr-4.1.0-b/src/mpfr.h	2021-02-17 17:25:46.436981105 +0000
@@ -27,7 +27,7 @@
 #define MPFR_VERSION_MAJOR 4
 #define MPFR_VERSION_MINOR 1
 #define MPFR_VERSION_PATCHLEVEL 0
-#define MPFR_VERSION_STRING "4.1.0-p8"
+#define MPFR_VERSION_STRING "4.1.0-p9"
 
 /* User macros:
    MPFR_USE_FILE:        Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.1.0-a/src/version.c mpfr-4.1.0-b/src/version.c
--- mpfr-4.1.0-a/src/version.c	2021-02-17 17:22:34.702972090 +0000
+++ mpfr-4.1.0-b/src/version.c	2021-02-17 17:25:46.440981068 +0000
@@ -25,5 +25,5 @@
 const char *
 mpfr_get_version (void)
 {
-  return "4.1.0-p8";
+  return "4.1.0-p9";
 }
diff -Naurd mpfr-4.1.0-a/tests/mpfr-test.h mpfr-4.1.0-b/tests/mpfr-test.h
--- mpfr-4.1.0-a/tests/mpfr-test.h	2020-06-29 13:57:32.000000000 +0000
+++ mpfr-4.1.0-b/tests/mpfr-test.h	2021-02-17 17:25:46.424981219 +0000
@@ -191,6 +191,8 @@
 
 #define mpfr_cmp0(x,y) (MPFR_ASSERTN (!MPFR_IS_NAN (x) && !MPFR_IS_NAN (y)), mpfr_cmp (x,y))
 #define mpfr_cmp_ui0(x,i) (MPFR_ASSERTN (!MPFR_IS_NAN (x)), mpfr_cmp_ui (x,i))
+#define mpfr_cmp_si_2exp0(x,i,e) (MPFR_ASSERTN (!MPFR_IS_NAN (x)), \
+                                  mpfr_cmp_si_2exp (x,i,e))
 
 /* define CHECK_EXTERNAL if you want to check mpfr against another library
    with correct rounding. You'll probably have to modify mpfr_print_raw()
diff -Naurd mpfr-4.1.0-a/tests/tj1.c mpfr-4.1.0-b/tests/tj1.c
--- mpfr-4.1.0-a/tests/tj1.c	2020-01-08 18:11:13.000000000 +0000
+++ mpfr-4.1.0-b/tests/tj1.c	2021-02-17 17:25:46.424981219 +0000
@@ -55,14 +55,14 @@
               /* since |x| is just above 2^e, |j1(x)| is just above 2^(e-1),
                  thus y should be 2^(e-1) and the inexact flag should be
                  of opposite sign of x */
-              MPFR_ASSERTN(mpfr_cmp_si_2exp (y, sign, e - 1) == 0);
+              MPFR_ASSERTN(mpfr_cmp_si_2exp0 (y, sign, e - 1) == 0);
               MPFR_ASSERTN(VSIGN (inex) * sign < 0);
             }
           else
             {
               /* here |y| should be 0.5*2^emin and the inexact flag should
                  have the sign of x */
-              MPFR_ASSERTN(mpfr_cmp_si_2exp (y, sign, e) == 0);
+              MPFR_ASSERTN(mpfr_cmp_si_2exp0 (y, sign, e) == 0);
               MPFR_ASSERTN(VSIGN (inex) * sign > 0);
             }
         }
@@ -72,6 +72,26 @@
   mpfr_clear (y);
 }
 
+/* a test that fails with GMP_CHECK_RANDOMIZE=1613146232984428
+   on revision 14429 */
+static void
+bug20210215 (void)
+{
+  mpfr_t x, y;
+  int inex;
+
+  mpfr_init2 (x, 221);
+  mpfr_init2 (y, 1);
+  mpfr_set_str (x, "1.6484611511696130037307738844228498447763863563070374544054791168614e+01", 10, MPFR_RNDN);
+  mpfr_clear_flags ();
+  inex = mpfr_j1 (y, x, MPFR_RNDZ);
+  MPFR_ASSERTN (mpfr_cmp_si_2exp0 (y, -1, -9) == 0);
+  MPFR_ASSERTN (inex > 0);
+  MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
+  mpfr_clear (x);
+  mpfr_clear (y);
+}
+
 int
 main (int argc, char *argv[])
 {
@@ -79,6 +99,8 @@
 
   tests_start_mpfr ();
 
+  bug20210215 ();
+
   test_small ();
 
   mpfr_init (x);